Answer:- Statement 1 and Statement 2
Explanation:-
Properties of a parallelogram:-
- The opposite sides are congruent.
- The opposite angles are congruent .
- The consecutive angles are supplementary.
- If one angle is right, then all angles are right.
- Diagonals of a parallelogram bisect each other.
- Each diagonal of a parallelogram divides it into two congruent triangles.
Thus, statements 1 and 2 are the correct answer to prove that a quadrilateral DEFG is a parallelogram.
Answer:
<em><u>Given :-</u></em>
Two legs of a rt. triangle : 8 and 10 respectively.
<em><u>To find :-</u></em>
Length of the hypotenuse
<em><u>Solution :-</u></em>
Using Pythagorean Theorem;
(hypotenuse)² = (8)² + (10)²
= 64 + 100
hypotenuse = √164
= 12.8 units
Answer:
I understand it very well
Answer:
So he can buy 15 + he will have on his card left 0.65$
Step-by-step explanation:
20 / 1.29 = 15 song's
20 - 19.39 = 0.65
So he can buy 15 + he will have on his card left 0.65$
Answer:
f(x) = x² - 10x + 24
Step-by-step explanation:
The quadratic function has a graph that passes through the points (4,0) and (6,0).
Therefore, the graph has two x-intercepts at x = 4 and x = 6 and those are the roots of the equation.
So, (x - 4) and (x - 6) are two factors of the quadratic equation.
Then we can write the equation as
f(x) = (x - 4)(x - 6)
⇒ f(x) = x² - 4x - 6x + 24
⇒ f(x) = x² - 10x + 24
Hence, this is the required quadratic function in standard form. (Answer)